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Finding the Third Proportional to 150,457.82 and 233,720.96

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Solution

The third proportional to 150,457.82 and 233,720.96 is: 363,061.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,457.82 : 233,720.96 = 233,720.96 : x
  2. Step 2: Convert to fraction form
    150,457.82/233,720.96 = 233,720.96/x
  3. Step 3: Cross multiply
    150,457.82x = 233,720.96 × 233,720.96
  4. Step 4: Simplify right side
    150,457.82x = 54,625,489,407.49
  5. Step 5: Solve for x
    x = 54,625,489,407.49/150,457.82
  6. Step 6: Final answer
    x = 363,061.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.